4(5x+4)6(2x+7)=

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Solution for 4(5x+4)6(2x+7)= equation: 


Simplifying
4(5x + 4) * 6(2x + 7) = 0

Reorder the terms:
4(4 + 5x) * 6(2x + 7) = 0

Reorder the terms:
4(4 + 5x) * 6(7 + 2x) = 0

Reorder the terms for easier multiplication:
4 * 6(4 + 5x)(7 + 2x) = 0

Multiply 4 * 6
24(4 + 5x)(7 + 2x) = 0

Multiply (4 + 5x) * (7 + 2x)
24(4(7 + 2x) + 5x * (7 + 2x)) = 0
24((7 * 4 + 2x * 4) + 5x * (7 + 2x)) = 0
24((28 + 8x) + 5x * (7 + 2x)) = 0
24(28 + 8x + (7 * 5x + 2x * 5x)) = 0
24(28 + 8x + (35x + 10x2)) = 0

Combine like terms: 8x + 35x = 43x
24(28 + 43x + 10x2) = 0
(28 * 24 + 43x * 24 + 10x2 * 24) = 0
(672 + 1032x + 240x2) = 0

Solving
672 + 1032x + 240x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(28 + 43x + 10x2) = 0

Factor a trinomial.
24((7 + 2x)(4 + 5x)) = 0

Ignore the factor 24.

Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-3.5, -0.8}

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